Practice problems of the triangle - page 18 of 116
A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. The sum of the measures of the interior angles of a triangle is always 180 degrees. An exterior angle of a triangle is an angle that is a linear pair (and hence supplementary) to an interior angle. The best known area formula is T = a*h /2 where a is the length of the side of the triangle, and h is the height or altitude of the triangle.Number of problems found: 2320
- Perpendicular 7712
Calculate the length of the shadow of a ladder 8 m long leaning against a 6 m high wall. (the sun shines perpendicular to the ladder - see picture). - Perimeter 6002
In the triangle ABC there is a side c = 5cm and a medians ta = 6cm (median to side a), tb = 4.5cm (median to side b). Find the perimeter of the triangle ABT (T = center of gravity). - Probability 4824
We have five lines with lengths of 3cm, 5cm, 7cm, 9cm, and 11cm. What is the probability that we will be able to construct a triangle with randomly selected three? - Circumference 4127
The base is 3.5 cm shorter than the shoulder in an isosceles triangle. The circumference of the triangle is 58 cm. Calculate the lengths of the sides of this triangle. - A triangle 4
A triangle has a perimeter of 18a + 6b + 15 and has sides of lengths 5a + 7 and 8a +4b. What is the length of the third side? Write an expression and simplify it to find the solution to the problem. - Two forces 3
Two forces with magnitudes 8 Newtons and 15 Newtons act at a point. If the resultant force is 17 Newtons, find the angle between the forces. - Triangle from median
Calculate the perimeter, area, and magnitudes of the triangle ABC's remaining angles: a = 8.4; β = 105° 35 '; and median ta = 12.5. - The angles ratio
The angles in the ABC triangle are in the ratio 1:2:3. Find the angles' sizes and determine what kind of a triangle it is. - Land boundary
The land is a right triangle. Its hypotenuse is 30 meters long, and its circumference is 72 meters. What are the sizes of the remaining sides of the land boundary? - Isosceles triangle 10
In an isosceles triangle, the equal sides are 2/3 of the length of the base. Determine the measure of the base angles. - Isosceles triangle 8
If the rate of the sides of an isosceles triangle is 7:6:7, find the base angle correct to the nearest degree. - KLM triangle
Find the length of the sides of the triangle KLM if m = 5cm height to m = 4.5 cm and size MKL angle is 70 degrees. - The mast
We see the top of the pole at an angle of 45°. If we approach the pole by 10 m, we see the top of the pole at an angle of 60°. What is the height of the pole? - Alfa beta gama
The triangle's interior angle beta is 10 degrees greater than the angle alpha, and the gamma angle is three times larger than the beta. Determine the size of the interior angles. - RT perimeter
The leg of the rectangular triangle is 7 cm shorter than the second leg and 8 cm shorter than the hypotenuse. Calculate the triangle circumference. - Forces
Determine the resultant of two perpendicular forces F1 = 560 N and the second force 25% smaller. - Angles of the triangle
ABC is a triangle. The size of the angles alpha and beta are in a ratio of 4:7. The angle gamma is greater than the angle alpha by a quarter of a straight angle. Determine angles of the triangle ABC. - Column
The vertical pole high $v m tall broke, and its toe fell $x m from the bottom of the pole. At what height above the ground does the pole break? - Building
How high is the building that throws horizontal shadow 85.6 m long at angle 34°12'? - Right triangle Alef
The obvod of a right triangle is 84 cm, and the hypotenuse is 37 cm long. Determine the lengths of the legs.
Do you have homework that you need help solving? Ask a question, and we will try to solve it.